46067761152 has 840 divisors, whose sum is σ = 171908788800. Its totient is φ = 12039487488.

The previous prime is 46067761121. The next prime is 46067761177. The reversal of 46067761152 is 25116776064.

46067761152 is a `hidden beast` number, since 460 + 6 + 7 + 76 + 115 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46067761098 and 46067761107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1588543474 + ... + 1588543502.

It is an arithmetic number, because the mean of its divisors is an integer number (204653320).

Almost surely, 2^46067761152 is an apocalyptic number.

46067761152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46067761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85954394400).

46067761152 is an abundant number, since it is smaller than the sum of its proper divisors (125841027648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46067761152 is an frugal number, since it uses more digits than its factorization.

46067761152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 46067761152 in words is "forty-six billion, sixty-seven million, seven hundred sixty-one thousand, one hundred fifty-two".